Consider a sample xi i 1 n of size n10 drawn from a normal

Consider a sample {x_(i) | i = 1, ...,n} of size n=10 drawn from a normal population of unknown mean and standard deviation. Suppose the sample mean is x=(1/n)*(Sum from i=1 to n)x_(i)=25.4 and the sample variance is s^2=(1/n-1)(Sum from i=1 to n)(x_(i)-x)^2=16.7

1. Find the 95% confidence interval on the population standard deviation .

Solution